This article is cited in 1 paper

Chiral trace relations in $\mathcal N=2^*$ supersymmetric gauge theories

A. Fachechi^ab, G. Macorini^ab, M. Beccaria<sup>ab

a</sup> Dipartimento di Matematica e Fisica, Università del Salento, Lecce, Italy
^b Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Lecce, Italy

Abstract: We analyze the chiral ring in $\Omega$-deformed $\mathcal N=2^*$ supersymmetric gauge theories. Applying localization techniques, we derive closed identities for the vacuum expectation values of chiral trace operators. In the $SU(2)$ case, we provide an AGT framework to identify chiral trace operators and the system of local integrals of motion in the related two-dimensional conformal field theory. In this setup, we predict some universal terms appearing in chiral trace identities.

Keywords: supersymmetric gauge theory, nonperturbative effect, integrability.

Received: 12.10.2017
Revised: 22.12.2017

DOI: 10.4213/tmf9485

 English version: Theoretical and Mathematical Physics, 2018, 196:3, 1282–1293

Bibliographic databases:

• 
• 
• 
• 
•